Finding the Third Proportional to 383,626.50 and 580,770

Step by Step Solution

1. Step 1: Write the proportion equation
   383,626.50 : 580,770 = 580,770 : x
2. Step 2: Convert to fraction form
   383,626.50/580,770 = 580,770/x
3. Step 3: Cross multiply
   383,626.50x = 580,770 × 580,770
4. Step 4: Simplify right side
   383,626.50x = 337,293,792,900
5. Step 5: Solve for x
   x = 337,293,792,900/383,626.50
6. Step 6: Final answer
   x = 879,224.44